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1140311423020 = 2257112741270143
BaseRepresentation
bin10000100101111111110…
…110110111100000101100
311001000100021010020022011
4100211333312313200230
5122140324211014040
62231503555131004
7145245660112120
oct20457766674054
94030307106264
101140311423020
113aa670085830
12164bbbba3a64
13836b9527ac3
143d29717d580
151e9de9a13ea
hex1097fdb782c

1140311423020 has 96 divisors (see below), whose sum is σ = 2986642907136. Its totient is φ = 355290758400.

The previous prime is 1140311422973. The next prime is 1140311423023. The reversal of 1140311423020 is 203241130411.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1140311422982 and 1140311423000.

It is not an unprimeable number, because it can be changed into a prime (1140311423023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4086069 + ... + 4356211.

It is an arithmetic number, because the mean of its divisors is an integer number (31110863616).

Almost surely, 21140311423020 is an apocalyptic number.

1140311423020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140311423020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493321453568).

1140311423020 is an abundant number, since it is smaller than the sum of its proper divisors (1846331484116).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1140311423020 is a wasteful number, since it uses less digits than its factorization.

1140311423020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272911 (or 272909 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 1140311423020 its reverse (203241130411), we get a palindrome (1343552553431).

The spelling of 1140311423020 in words is "one trillion, one hundred forty billion, three hundred eleven million, four hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 2741 5482 10964 13705 19187 27410 30151 38374 54820 60302 76748 95935 120604 150755 191870 211057 270143 301510 383740 422114 540286 603020 844228 1055285 1080572 1350715 1891001 2110570 2701430 2971573 3782002 4221140 5402860 5943146 7564004 9455005 11886292 14857865 18910010 20801011 29715730 37820020 41602022 59431460 83204044 104005055 208010110 416020220 740461963 1480923926 2961847852 3702309815 5183233741 7404619630 8145081593 10366467482 14809239260 16290163186 20732934964 25916168705 32580326372 40725407965 51832337410 57015571151 81450815930 103664674820 114031142302 162901631860 228062284604 285077855755 570155711510 1140311423020